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regarding to data science image processing, how to answers above problems with details explanations? About laplacian filter. The process of sharpening of image by Laplacian

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regarding to data science image processing, how to answers above problems with details explanations?

About laplacian filter. The process of sharpening of image by Laplacian is g(x,y)=f(x,y)2f, it means With simplified laplacian, we got this kernel, How it comes

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